10987312307329 has 2 divisors, whose sum is σ = 10987312307330. Its totient is φ = 10987312307328.

The previous prime is 10987312307327. The next prime is 10987312307359. The reversal of 10987312307329 is 92370321378901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10279109271025 + 708203036304 = 3206105^2 + 841548^2 .

It is a cyclic number.

It is not a de Polignac number, because 10987312307329 - 2¹ = 10987312307327 is a prime.

It is a super-3 number, since 3×10987312307329³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10987312307327, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10987312307329.

It is not a weakly prime, because it can be changed into another prime (10987312307327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5493656153664 + 5493656153665.

It is an arithmetic number, because the mean of its divisors is an integer number (5493656153665).

Almost surely, 2^{10987312307329} is an apocalyptic number.

It is an amenable number.

10987312307329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10987312307329 is an equidigital number, since it uses as much as digits as its factorization.

10987312307329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 10987312307329 in words is "ten trillion, nine hundred eighty-seven billion, three hundred twelve million, three hundred seven thousand, three hundred twenty-nine".